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Finding the Fourth Proportional to 689.90, 951.96 and 410.13

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Solution

The fourth proportional to 689.90, 951.96 and 410.13 is: 565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.90 : 951.96 = 410.13 : x
  2. Step 2: Convert to fraction form
    689.90/951.96 = 410.13/x
  3. Step 3: Cross multiply
    689.90x = 951.96 × 410.13
  4. Step 4: Simplify right side
    689.90x = 390,422.92
  5. Step 5: Solve for x
    x = 390,422.92/689.90
  6. Step 6: Final answer
    x = 565.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.